THE NETWORK OF WEIGHTED MAJORITY RULES AND WEIGHTED MAJORITY GAMES

The network organizes in space the weighted majority rules (WMR) and w eighted majority games (WMG). The WMRs are the potentially optimal dec ision rules in uncertain dichotomous choice situations. The WMGs are t he well-known subgroup of coalitional games. The nodes are the WMRs or the WMGs, and the directed edges are the decision profiles of the dec ision makers or the coalitions among the players, respectively. For an y group of decision makers, the network yields the ranking of all the WMRs by their efficiency; for any group of players, it yields the diff erences among the WMGs in terms of winning and losing coalitions. (C) 1998 Academic Press.